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Finding the Fourth Proportional to 2,201.58, 3,303.69 and 1,162.32

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Solution

The fourth proportional to 2,201.58, 3,303.69 and 1,162.32 is: 1,744.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.58 : 3,303.69 = 1,162.32 : x
  2. Step 2: Convert to fraction form
    2,201.58/3,303.69 = 1,162.32/x
  3. Step 3: Cross multiply
    2,201.58x = 3,303.69 × 1,162.32
  4. Step 4: Simplify right side
    2,201.58x = 3,839,944.96
  5. Step 5: Solve for x
    x = 3,839,944.96/2,201.58
  6. Step 6: Final answer
    x = 1,744.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.